g You are following 25 m behind another car on the highway while talking on the cell phone. Both you and the other car initially have a con

Question

g You are following 25 m behind another car on the highway while talking on the cell phone. Both you and the other car initially have a constant speed of 110 km/hr. You being to argue with the person on the phone and become distracted from the road for 2 seconds. At the beginning of that two seconds, the other car sees something in the road ahead and begins to break hard, at 5 m/s2 . (a) How far apart are the two cars when your attention returns to the road

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Tryphena 2 weeks 2021-07-22T07:31:33+00:00 1 Answers 1 views 0

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    2021-07-22T07:32:54+00:00

    Answer:

    Δx = 10 m

    Explanation:

    For this problem we can calculate the distance traveled by each car in the time of 2 s

    let’s reduce the speed to the SI system

    v = 110 km / h (1000m / 1 km) (1 h / 3600 s) = 30.556 m / s

         

    Cart 1

    this car has constant speed

                v = x₁ / t

                x₁ = v t

                x₁ = 30,556  2

                x₁ = 61.11 m

    This car is that of the person with the cell phone

    Cart 2

    this car has an acceleration of a = 5 m / s²

                x₂ = v₀ t – ½ a t²

                x₂ = 30,556 2 – ½ 5 2²

                x₂ = 51,112 m

    The difference in distance between the two vehicles is

                Δx = x₁ – x₂

                Δx = 61.11 – 51.11

                Δx = 10 m

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